Finding the Third Proportional to 10,584 and 17,394

Step by Step Solution

1. Step 1: Write the proportion equation
   10,584 : 17,394 = 17,394 : x
2. Step 2: Convert to fraction form
   10,584/17,394 = 17,394/x
3. Step 3: Cross multiply
   10,584x = 17,394 × 17,394
4. Step 4: Simplify right side
   10,584x = 302,551,236
5. Step 5: Solve for x
   x = 302,551,236/10,584
6. Step 6: Final answer
   x = 28,585.72